Finding the Third Proportional to 85,857 and 131,336

Step by Step Solution

1. Step 1: Write the proportion equation
   85,857 : 131,336 = 131,336 : x
2. Step 2: Convert to fraction form
   85,857/131,336 = 131,336/x
3. Step 3: Cross multiply
   85,857x = 131,336 × 131,336
4. Step 4: Simplify right side
   85,857x = 17,249,144,896
5. Step 5: Solve for x
   x = 17,249,144,896/85,857
6. Step 6: Final answer
   x = 200,905.52